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Finding the Fourth Proportional to 7,033.84, 10,551.84 and 2,102.92

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Solution

The fourth proportional to 7,033.84, 10,551.84 and 2,102.92 is: 3,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.84 : 10,551.84 = 2,102.92 : x
  2. Step 2: Convert to fraction form
    7,033.84/10,551.84 = 2,102.92/x
  3. Step 3: Cross multiply
    7,033.84x = 10,551.84 × 2,102.92
  4. Step 4: Simplify right side
    7,033.84x = 22,189,675.37
  5. Step 5: Solve for x
    x = 22,189,675.37/7,033.84
  6. Step 6: Final answer
    x = 3,154.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.